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* (FusionTree{FibonacciAnyon}((:τ, :τ), :τ, (false, false), ()), FusionTree{FibonacciAnyon}((:τ, :τ), :τ, (false, false), ())) => 1×1×1×1 StridedViews.StridedView{Float64, 4, Memory{Float64}, typeof(identity)}:
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0.0</code></pre><div class="admonition is-info" id="Note-527fead9933cbe71"><header class="admonition-header">Note<a class="admonition-anchor" href="#Note-527fead9933cbe71" title="Permalink"></a></header><div class="admonition-body"><p>In the previous section we have stressed the role of Clebsch-Gordan coefficients in the structure of symmetric tensors, and how they can be used to map between the representation of an operator in the irrep basis and its symmetric tensor representation. However, for categorical symmetries such as the Fibonacci anyons, there are no Clebsch-Gordan coefficients. Therefore, the &#39;matrix elements of the operator in the irrep basis&#39; are not well-defined, meaning that a Fibonacci-symmetric tensor cannot actually be converted to a plain array in a straightforward way.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../index/">« Index</a><a class="docs-footer-nextpage" href="../categories/">Optional introduction to category theory »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Wednesday 15 April 2026 08:22">Wednesday 15 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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0.0</code></pre><div class="admonition is-info" id="Note-527fead9933cbe71"><header class="admonition-header">Note<a class="admonition-anchor" href="#Note-527fead9933cbe71" title="Permalink"></a></header><div class="admonition-body"><p>In the previous section we have stressed the role of Clebsch-Gordan coefficients in the structure of symmetric tensors, and how they can be used to map between the representation of an operator in the irrep basis and its symmetric tensor representation. However, for categorical symmetries such as the Fibonacci anyons, there are no Clebsch-Gordan coefficients. Therefore, the &#39;matrix elements of the operator in the irrep basis&#39; are not well-defined, meaning that a Fibonacci-symmetric tensor cannot actually be converted to a plain array in a straightforward way.</p></div></div></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../../index/">« Index</a><a class="docs-footer-nextpage" href="../categories/">Optional introduction to category theory »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Wednesday 15 April 2026 13:26">Wednesday 15 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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